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We propose an Gaussian Mixture Model (GMM) learning algorithm, based on our previous work of GMM expansion idea. The new algorithm brings more robustness and simplicity than classic Expectation Maximization (EM) algorithm. It also improves…

Machine Learning · Computer Science 2023-09-07 Weiguo Lu , Xuan Wu , Deng Ding , Gangnan Yuan

Probabilistic programming is a growing area that strives to make statistical analysis more accessible, by separating probabilistic modelling from probabilistic inference. In practice this decoupling is difficult. No single inference…

Programming Languages · Computer Science 2022-04-15 Maria I. Gorinova

Complex networks theory has commonly been used for modelling and understanding the interactions taking place between the elements composing complex systems. More recently, the use of generative models has gained momentum, as they allow…

Physics and Society · Physics 2016-05-19 Massimiliano Zanin , Marco Correia , Pedro A. C. Sousa , Jorge Cruz

Sampling-based decoding underlies complex reasoning in large language models (LLMs), where decoding strategies critically shape model behavior. Temperature- and truncation-based methods reshape the next-token distribution through global…

Artificial Intelligence · Computer Science 2026-02-02 Yixin Yang , Qingxiu Dong , Zhifang Sui

A variety of real-world tasks involve the classification of images into pre-determined categories. Designing image classification algorithms that exhibit robustness to acquisition noise and image distortions, particularly when the available…

Machine Learning · Statistics 2016-03-10 Umamahesh Srinivas

In Gaussian graphical model selection, noise-corrupted samples present significant challenges. It is known that even minimal amounts of noise can obscure the underlying structure, leading to fundamental identifiability issues. A recent line…

Machine Learning · Statistics 2024-05-09 Abrar Zahin , Rajasekhar Anguluri , Lalitha Sankar , Oliver Kosut , Gautam Dasarathy

Finite Gaussian mixture models provide a powerful and widely employed probabilistic approach for clustering multivariate continuous data. However, the practical usefulness of these models is jeopardized in high-dimensional spaces, where…

Methodology · Statistics 2022-05-13 Alessandro Casa , Andrea Cappozzo , Michael Fop

Tree search algorithms, such as branch-and-bound, are the most widely used tools for solving combinatorial and nonconvex problems. For example, they are the foremost method for solving (mixed) integer programs and constraint satisfaction…

Artificial Intelligence · Computer Science 2018-05-18 Maria-Florina Balcan , Travis Dick , Tuomas Sandholm , Ellen Vitercik

As Large Language Models (LLMs) become more widely adopted and scale up in size, the computational and memory challenges involved in deploying these massive foundation models have grown increasingly severe. This underscores the urgent need…

Machine Learning · Computer Science 2025-08-14 Omar Bazarbachi , Zijun Sun , Yanning Shen

Recent progress in large-scale flow and diffusion models raised two fundamental algorithmic challenges: (i) control-based reward adaptation of pre-trained flows, and (ii) integration of multiple models, i.e., flow merging. While current…

Machine Learning · Computer Science 2026-02-10 Riccardo De Santi , Malte Franke , Ya-Ping Hsieh , Andreas Krause

Convolution trees, loopy belief propagation, and fast numerical p-convolution are combined for the first time to efficiently solve networks with several additive constraints between random variables. An implementation of this "convolution…

Computation · Statistics 2017-08-23 Oliver Serang

Recent years have seen a rapid expansion of the model space explored in statistical phylogenetics, emphasizing the need for new approaches to statistical model representation and software development. Clear communication and representation…

Populations and Evolution · Quantitative Biology 2013-12-10 Sebastian Höhna , Tracy A. Heath , Bastien Boussau , Michael J. Landis , Fredrik Ronquist , John P. Huelsenbeck

Ensemble models refer to methods that combine a typically large number of classifiers into a compound prediction. The output of an ensemble method is the result of fitting a base-learning algorithm to a given data set, and obtaining diverse…

Machine Learning · Statistics 2019-06-10 Waldyn Martinez

We present a probabilistic graphical model formulation for the graph clustering problem. This enables to locally represent uncertainty of image partitions by approximate marginal distributions in a mathematically substantiated way, and to…

Computer Vision and Pattern Recognition · Computer Science 2016-01-12 Jörg Hendrik Kappes , Paul Swoboda , Bogdan Savchynskyy , Tamir Hazan , Christoph Schnörr

We propose a new framework for how to use sequential Monte Carlo (SMC) algorithms for inference in probabilistic graphical models (PGM). Via a sequential decomposition of the PGM we find a sequence of auxiliary distributions defined on a…

Methodology · Statistics 2014-10-07 Christian A. Naesseth , Fredrik Lindsten , Thomas B. Schön

Merging the two cultures of deep and statistical learning provides insights into structured high-dimensional data. Traditional statistical modeling is still a dominant strategy for structured tabular data. Deep learning can be viewed…

Methodology · Statistics 2021-10-25 Anindya Bhadra , Jyotishka Datta , Nick Polson , Vadim Sokolov , Jianeng Xu

In the big data era, scalability has become a crucial requirement for any useful computational model. Probabilistic graphical models are very useful for mining and discovering data insights, but they are not scalable enough to be suitable…

Artificial Intelligence · Computer Science 2014-08-21 Khalifeh AlJadda , Mohammed Korayem , Camilo Ortiz , Trey Grainger , John A. Miller , William S. York

Probabilistic graphical modeling is a branch of machine learning that uses probability distributions to describe the world, make predictions, and support decision-making under uncertainty. Underlying this modeling framework is an elegant…

Machine Learning · Computer Science 2025-07-24 Jacqueline Maasch , Willie Neiswanger , Stefano Ermon , Volodymyr Kuleshov

To operate effectively in the real world, agents should be able to act from high-dimensional raw sensory input such as images and achieve diverse goals across long time-horizons. Current deep reinforcement and imitation learning methods can…

Machine Learning · Computer Science 2020-11-16 Scott Emmons , Ajay Jain , Michael Laskin , Thanard Kurutach , Pieter Abbeel , Deepak Pathak

Combining multiple machine learning models has long been a technique for enhancing performance, particularly in distributed settings. Traditional approaches, such as model ensembles, work well, but are expensive in terms of memory and…

Machine Learning · Computer Science 2024-12-23 Albert Manuel Orozco Camacho , Stefan Horoi , Guy Wolf , Eugene Belilovsky
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